Showing posts with label Hodge-based index. Show all posts
Showing posts with label Hodge-based index. Show all posts

Wednesday, December 28, 2016

More As To Rham And Doubolt Cohomologies

Let us initially consider an orbifold eigenset, that is moving through a discrete unitary Lagrangian -- over a sequential series of group-related instantons.  Let us next say that the said orbifold eigenset, is to be moving toward a phenomenology that works to bear a much higher gravitational-based index -- to where the topological substrate that is being moved towards, works to bear a much higher mass than the initially so-stated orbifold eigenset does, in this given arbitrary respective case scenario.  The initially said orbifold eigenset, is to be initially moving via a cohomological mappable-tracing -- that works to bear here a Rham-based cohomology.  Space-time-fabric tends to bend, and not be of a perfectly "straight" nature.  The Fourier-based activity of gravity, is the main general course of force -- that tends to work at bending space-time-fabric.  Since the topological substrate that is being moved towards, works to bear a higher gravitational index, the Fourier-based activity of the first so-stated orbifold eigenset, that is moving towards the second said topological substrate -- will tend to form more of a bending of space-time-fabric per time -- as the said orbifold eigenset is to here be moving closer and closer to the so-eluded-to holonomic substrate, that is of a higher mass-based index.  This will then tend to mean, that as the initially so-stated orbifold eigenset is to be moving towards the so-eluded-to mass that is of a higher genus of Hodge-based index, the more that the initially said Rham-based cohomology will then tend to convert into a Doubolt-based cohomology.  This will then mean, that the closer that the holonomic substrate that is of a lower genus of mass moves towards the holonomic substrate that is of a higher genus of mass -- there is more of a likely-hood of the Hamiltonian operand that is of its initially hermitian-based nature, will then tend to form both at least one Lagrangian-based Chern-Simons singularity and/or one metrical-based Chern-Simons singularity.
I will continue with the suspense later!  To Be Continued!  Sincerely, Samuel David Roach.

Saturday, October 17, 2015

Stuff About Core-Field-Density

Here is some information as to the manner of the phenomena of core-field-density in the substringular.
The closer that one gets to the topological surface of anything in the substringular -- such as when one gets closer to the topological surface of a superstring of discrete energy permittivity --, the general tendency, is that there will then be the condition to where that the number of both the mini-stringular segments and the number of mini-stringular projections, is then of both a greater quantity and a greater scalar magnitude.
This tendency works to cause the condition, to where, the amount of topological-based holonomic substrate will then be of a greater amount of both entity-based cohomological-based index, a greater amount of entity-based  ground-state-based index, and also, of a greater amount of entity-based norm-state index -- to where, there will then be a higher scalar magnitude as to the number of Hodge-based indices, that are here to be related to the existence of those fractals of Hamiltonian-based operation, that are necessary for both the continued existence and the continued activity of the interdependence of each of such discrete substringular quanta, towards each of the other viable of such respective discrete substringular quanta -- that are of a codifferentiable, covariant, and of a  codeterminable nature towards each other.  To Be Continued!  I will continue with the suspense later!
Sincerely, Sam Roach.